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The prediction of time series is a challenging task relevant in such diverse applications as analyzing financial data, forecasting flow dynamics or understanding biological processes. Especially chaotic time series that depend on a long…

Machine Learning · Computer Science 2024-12-06 Johannes Viehweg , Dominik Walther , Patrick Mäder

A new stochastic control problem of a dam-reservoir system installed in a river is analyzed both mathematically and numerically. Water balance dynamics of the reservoir are piece-wise deterministic and are driven by a stochastic…

Systems and Control · Electrical Eng. & Systems 2020-05-04 H. Yoshioka , Y. Yoshioka

This paper presents a stochastic model predictive control approach for nonlinear systems subject to time-invariant probabilistic uncertainties in model parameters and initial conditions. The stochastic optimal control problem entails a cost…

Optimization and Control · Mathematics 2014-10-17 Stefan Streif , Matthias Karl , Ali Mesbah

The development of surrogate models to study uncertainties in hydrologic systems requires significant effort in the development of sampling strategies and forward model simulations. Furthermore, in applications where prediction time is…

Computational Physics · Physics 2023-01-19 Chen Chen , Clint Dawson , Eirik Valseth

Recent research has demonstrated Reservoir Computing's capability to model various chaotic dynamical systems, yet its application to Hamiltonian systems remains relatively unexplored. This paper investigates the effectiveness of Reservoir…

Computational Engineering, Finance, and Science · Computer Science 2025-07-18 Abrari Noor Hasmi , Hadi Susanto

In this work, an evaluation of Chance-Constrained Model Predictive Control (CC-MPC) in sewer systems over the use of the classical deterministic Model Predictive Control (MPC) is presented. The focus of this evaluation is on the avoidance…

Systems and Control · Electrical Eng. & Systems 2020-10-15 Jan Lorenz Svensen , Hans Henrik Niemann , Anne Katrine Vinther Falk , Niels Kjølstad Poulsen

In coastal river systems, frequent floods, often occurring during major storms or king tides, pose a severe threat to lives and property. However, these floods can be mitigated or even prevented by strategically releasing water before…

Machine Learning · Computer Science 2025-01-08 Jimeng Shi , Zeda Yin , Arturo Leon , Jayantha Obeysekera , Giri Narasimhan

Understanding performance and prioritizing resources for the maintenance of the drinking-water pipe network throughout its life-cycle is a key part of water asset management. Renovation of this vital network is generally hindered by the…

Signal Processing · Electrical Eng. & Systems 2020-07-09 Maryam Rahbaralam , David Modesto , Jaume Cardús , Amir Abdollahi , Fernando M Cucchietti

Deducing the states of spatiotemporally chaotic systems (SCSs) as they evolve in time is crucial for various applications. However, it is a dramatic challenge for generally achieving so due to the complexity of non-periodic dynamics and the…

Quantum Physics · Physics 2025-03-04 Longhan Wang , Yifan Sun , Xiangdong Zhang

We present and analyze a three-stage stochastic optimization model that integrates output from a geoscience-based flood model with a power flow model for transmission grid resilience planning against flooding. The proposed model coordinates…

Optimization and Control · Mathematics 2025-03-11 Ashutosh Shukla , Erhan Kutanoglu , John Hasenbein

Climate models robustly imply that some significant change in precipitation patterns will occur. Models consistently project that the intensity of individual precipitation events increases by approximately 6-7%/K, following the increase in…

Applications · Statistics 2016-12-21 Won Chang , Michael L. Stein , Jiali Wang , V. Rao Kotamarthi , Elisabeth J. Moyer

With the deterioration of climate, the phenomenon of rain-induced flooding has become frequent. To mitigate its impact, recent works adopt convolutional neural network or its variants to predict the floods. However, these methods directly…

Computer Vision and Pattern Recognition · Computer Science 2023-12-13 Feifei Wang , Yong Wang , Bing Li , Qidong Huang , Shaoqing Chen

Floods can cause horrific harm to life and property. However, they can be mitigated or even avoided by the effective use of hydraulic structures such as dams, gates, and pumps. By pre-releasing water via these structures in advance of…

Machine Learning · Computer Science 2023-10-31 Jimeng Shi , Vitalii Stebliankin , Giri Narasimhan

We propose a physics-constrained machine learning method-based on reservoir computing- to time-accurately predict extreme events and long-term velocity statistics in a model of turbulent shear flow. The method leverages the strengths of two…

Fluid Dynamics · Physics 2021-04-14 Nguyen Anh Khoa Doan , Wolfgang Polifke , Luca Magri

Currently, legal requirements demand that insurance companies increase their emphasis on monitoring the risks linked to the underwriting and asset management activities. Regarding underwriting risks, the main uncertainties that insurers…

Risk Management · Quantitative Finance 2020-08-19 Eduardo Ramos-Pérez , Pablo J. Alonso-González , José Javier Núñez-Velázquez

Streamflow prediction is one of the key challenges in the field of hydrology due to the complex interplay between multiple non-linear physical mechanisms behind streamflow generation. While physics based models are rooted in rich…

Atmospheric and Oceanic Physics · Physics 2025-11-12 Ankush Khandelwal , Shaoming Xu , Xiang Li , Xiaowei Jia , Michael Stienbach , Christopher Duffy , John Nieber , Vipin Kumar

We present a stochastic programming model for informing the deployment of ad hoc flood mitigation measures to protect electrical substations prior to an imminent and uncertain hurricane. The first stage captures the deployment of a fixed…

Optimization and Control · Mathematics 2024-01-05 Brent Austgen , Erhan Kutanoglu , John J. Hasenbein

The hazard of pluvial flooding is largely influenced by the spatial and temporal dependence characteristics of precipitation. When extreme precipitation possesses strong spatial dependence, the risk of flooding is amplified due to catchment…

Applications · Statistics 2020-08-03 Gregory P. Bopp , Benjamin A. Shaby , Chris E. Forest , Alfonso Mejía

Machine learning models can achieve high predictive accuracy in hydrological applications but often lack physical interpretability. The Mass-Conserving Perceptron (MCP) provides a physics-aware artificial intelligence (AI) framework that…

Machine Learning · Computer Science 2026-03-27 Mohammad A. Farmani , Hoshin V. Gupta , Ali Behrangi , Muhammad Jawad , Sadaf Moghisi , Guo-Yue Niu

The prediction of stochastic dynamical systems and the capture of dynamical behaviors are profound problems. In this article, we propose a data-driven framework combining Reservoir Computing and Normalizing Flow to study this issue, which…

Dynamical Systems · Mathematics 2023-08-01 Cheng Fang , Yubin Lu , Ting Gao , Jinqiao Duan